The Dynamic Structure Of Space:

The Dynamic Structure of Space:

Relating the Relational Matrix Model to Space-Time and Physical
Reality

"I wished to show that space-time is not necessarily something
to which one can ascribe a separate existence, independently of
the actual objects of physical reality. Physical objects are not
in space, but these objects are spatially extended. In this way
the concept of "empty space'' loses its meaning. "

--Albert Einstein, June 9, 1952

Note to the 15th edition of Relativity

Einstein's efforts to uncover a unified field theory were rooted
in his belief that the structure of space-time is the key to understanding
the characteristics of the electromagnetic and gravitational forces.

The World of Physics, vol. III p. 120

Introduction

Almost 100 years ago, Albert Einstein, in his special and general
relativity theories, developed mathematical formulas which told
us that matter and energy are equivalent, that space and time are
inseparable, that no physical object can travel faster than the
speed of light, and that the rate of passage of time for a body
in motion is relative to that body's rate of travel through space.
In this way, Einstein was able to mathematically demonstrate that
these apparently separate aspects of physical reality were all connected.

Einstein understood that all physical phenomena are connected through
the spatial structure, existing as extensions of that structure.
However, because he was unable to develop a visual model of that
structure, he was never able to demonstrate how all these things
are connected through that structure.

In this chapter, we will demonstrate that space-time functions
as a dynamic relational structure. The relational-matrix model,
as a visualizable representation of the structure of space, will
be used to explain, among other things, why the physical relationships
that Einstein mathematically described exist. Using the relational-matrix
model to explain the behavior of physical reality, we will establish
a conceptual basis for understanding how physical reality extends
from the structure of space. By the end of this chapter, we will
also have established a conceptual basis for understanding why nothing
can truly be separated from anything else -- i.e., why nothing can
be said to exist independent of all other things.

Section 1 The "Big Bang" and the Relational Matrix

The universe is expanding. This observation, based on astronomical
measurements, has led to the theory that the universe began in an
outward explosion from some point. In general, the idea of this
initial explosion and subsequent expansion of the universe is called
the "Big Bang" Theory.

The relational-matrix model, as a visualizable representation of
space-time, is consistent with the view of an expanding universe
that began as a point. We have described the relational-matrix model
as the dynamic structure that results when existence repetitively
and progressively exists in relation to itself. Yet there's another
relationship within existence implied by the existence of the relational
matrix that we haven't yet discussed. That implied relationship
is between existence that's existing in relation to itself to form
a relational matrix, and existence that isn't forming a relational
matrix. That is, the relational matrix, as an aspect of existence,
must itself exist in relation to another aspect of existence that's
not a relational matrix. Putting it still another way, the relational
aspect of existence must exist in relation to a complementary nonrelational
aspect of existence.

The relational matrix, as a structure, represents a constraint,
a limitation, that existence has imposed upon itself, upon limitless
borderless nonrelative existence. Infinite borderless nonrelative
existence can be imagined as a ubiquitous no-thing, as a nonstructure,
like a blank sheet of paper extending forever in all directions.
The relational matrix, as a structural imposition upon this structural
nothingness, can be imagined as a dot (or point) placed somewhere
upon that blank sheet of paper. This dot is relative existence as
structure existing in relation to nonrelative existence that has
no structure. This dot is the relational aspect of existence existing
in relation to the nonrelational aspect of existence. In other words,
the first relationship that existence forms with itself must be
between finite and infinite existence, between relative and nonrelative
existence, between existence as relational structure and existence
as nonrelational nonstructure, between the finite point and the
infinite nonpoint.

Existence exists whether or not the dot is there. However, the
dot can't exist except within the context of existence that's not
a dot -- i.e., the dot can't exist other than as finite bordered
relative existence in relation to infinite borderless nonrelative
existence. The dot is existence existing in relation to itself.
The dot is relative existence, existence that is what it is by virtue
of its relationship to a complementary aspect of existence. This
is why the dot successively dualizes into a relational matrix, because
what the dot is is the relational aspect of existence; what the
dot is is existence forming a relationship with itself. Therefore,
the dot undergoing a process of successive dualization, of repetitive
and progressive self-relation, is nothing else than relative existence
continuing to be what it is -- i.e., existence that has formed a
relationship with itself. For this reason, existential self-relation,
once it has happened, becomes an ongoing process.

However, as a relative reality, the dot (i.e., the relational matrix)
must do more than internally dualize. As a relative reality, the
dot must also penetrate or expand into the nonrelative existence
that it exists in relation to. That is, just as the reality cells
of the relational matrix maintain their relative existences through
the dynamic of continuous interpenetration and interexpansion, the
relational matrix as a whole must itself also maintain its relative
existence by continuously penetrating and expanding into whatever
it is that it exists in relation to, which in this case is infinite
borderless nonrelative existence.

The universe conceived as expanding from a point of origin owing
to a "big bang" represents our view of the dynamic that
must be occurring in order for existence to sustain the relationship
it has formed with itself. What we observe as the expansion of the
universe isn't other than the ongoing penetration of one aspect
of existence into its complementary aspect of existence. What we
observe as the expansion of the universe isn't other than the ongoing
penetration and expansion of the relational matrix, as relative
existence, into existence that's nonrelative. In other words, what
we observe as the expansion of the universe is one half of the dynamic
involved in maintaining the state of relative existence that is
the universe.

The other half of that dynamic involves the universe as relational
matrix, as finite bordered relative existence, being penetrated
by whatever it is that it exists in relation to, which, again, in
this case is infinite borderless nonrelative existence. That is,
as the universe expands into the surrounding nonuniverse, that surrounding
nonuniverse must also be expanding into the universe. Putting it
another way, as the relational matrix penetrates and expands into
existence that is nonrelative, nonrelative existence must also be
penetrating and expanding into the relational matrix.

It's these penetrations of the relational matrix by nonrelative
existence that create what we have previously defined and described
as distortions of the relational matrix. That is, distortions of
relational-matrix content originate in areas of the relational matrix
that have been penetrated by surrounding existence which isn't the
relational matrix. Distortions are patterns of reality-cell content
within the relational matrix that differ from the uniform or baseline
pattern and are at some level the opposite of the uniform pattern.
The positive/negative polarity or complementarity of reality-cell
content arises as the uniform relational matrix is penetrated by
existence that's not the relational matrix.

As we will explained in upcoming sections, what we perceive as
the fundamental forms of electromagnetic and gravitational energy
are not other than the propagation of these distortions of reality-cell
content through the relational matrix, once they've come into existence,
with that propagation being driven by the dynamic intrinsic to the
relational structure of space-time. This situation is somewhat analogous
to what happens when the uniformly calm surface of a body of water
is penetrated by some object, with the surface of the water in that
area becoming then uncalm, or distorted, in relation to the uniformly
calm pattern, followed by the propagation of that distortion from
its point of origin outward as a water wave.

To summarize, what we observe as the expansion of the universe
is our perception from within the universe of the process whereby
one relative reality or the relational aspect of existence penetrates
or expands into its complementary nonrelative reality or the nonrelational
aspect of existence. Also, what we experience as propagating distortions
-- i.e., what we observe as the electromagnetic and gravitational
energy of the universe, as well as their material products -- is
the result of the nonrelative nonuniverse having penetrated the
relative universe.

Thus, the universe contains infinite form, endless structural variations,
because it's part of a process whereby finite structural existence
is expanding into infinite nonstructural existence, while infinite
nonstructural existence is also expanding into finite structural
existence. The seeming infinity of form observed in the universe
is the result of an ongoing dynamic between existence as structure
and existence as nonstructure. In this way, the interplay or interrelation
between structural constraint and unconstrained possibility creates
a universe of infinite form and endless structural variation, wherein
no snowflake is identical to another snowflake. This is finite structural
existence embodied (i.e., taking shape) within, and in relation
to, infinite nonstructural existence. Look at a flower, and what
you're seeing is the marriage of the infinite to the finite, the
marriage of existence to itself, as it exists in relation to itself.
Look at anything else, or look into a mirror, and you're observing
the same.

Section 2 Space-Time and the Relational Matrix

Einstein's relativity theory demonstrated the inseparability of
spatial and temporal existence by revealing that the rate of passage
of time which an object is observed to experience varies with object's
rate of travel through space. This connection between the passage
of time and material velocity established the idea that space and
time are the dual aspects of a single underlying reality, which
is now referred to as space-time.

The structural and dynamic aspects of the relational-matrix model
also have been described as the dual aspects of a single underlying
reality. We will show that space and time are inseparably linked
because they're the manifestations of the structural and dynamic
aspects, respectively, of the dynamic relational structure that
underlies our perception of the universe, as depicted in figure
31.

Figure 31 Diagrammatic representation of the dynamic structure
we perceive as space-time. "Space" is derived from the
static aspect of the spatial structure, wherein areas of existence
are defined in relation to each other as reality cells of a certain
size or volumetric existence (VE). The "time" aspect is
derived from the dynamic aspect of the spatial structure, which
involves the continuous exchange of spatial content between reality
cells.

In the relational-matrix model, space is the manifestation of the
structural aspect of the relational matrix, i.e., the volumetric
existence (VE) of the reality cells. A reality cell defines a spatial
construct, an area of relational structure within existence. The
area so defined exists as spatial content, as an area of space.
Space doesn't exist "within" the reality cell; space is
the reality cell, and the structure of space is derived from the
relationships between reality cells. As we will describe in upcoming
sections, there's no empty space for things to be "in";
there's only the dynamic structure of space, which, as existence
repetitively and progressively existing in relation to itself, composes
the energy, the matter, and then the experience of those things
as existing "in" space.

Time, then, is the manifestation of the dynamic aspect of the relational
matrix. Essentially, time will be shown to be nothing more than
a measure of the cyclic or periodic activity of compound distortion
processes or matter. Since time doesn't exist until there exists
matter, we can't explain how the dynamic aspect of the relational
matrix relates to time until we have first shown how matter arises
within the context of the unified model of reality.

To demonstrate that space-time functions as a dynamic structure,
and to eventually show how matter arises within the context of that
dynamic structure, we will now relate reality-cell distortions and
distortion propagation to some fundamental aspects of electromagnetic
radiation and gravitation.